Abstract
The internal state labelling problem for the d-row irreducible representations of SU(n) (where 2d<or=n), when reduced with respect to SO(n), is shown to amount to the external state labelling problem for U(d). The canonical solution of the latter due to Biedenharn et al. (1967) provides a canonical solution of the former, which reflects the operation of Littlewood's branching rule for U(n) contains/implies O(n) in a very simple way.
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